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11101121111120 = 2451931214333533
BaseRepresentation
bin1010000110001010111001…
…1000010110010001010000
31110022020221012212100220012
42201202232120112101100
52423340044001023440
635335441251534052
72224013062352345
oct241425630262120
943266835770805
1011101121111120
11359aa60509427
1212b357abba328
13626aa6296551
142a542346c7cc
15143b74049e65
hexa18ae616450

11101121111120 has 80 divisors (see below), whose sum is σ = 25836293371392. Its totient is φ = 4435945597440.

The previous prime is 11101121111081. The next prime is 11101121111141. The reversal of 11101121111120 is 2111112110111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11101121111095 and 11101121111104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331033874 + ... + 331067406.

Almost surely, 211101121111120 is an apocalyptic number.

11101121111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101121111120 is an abundant number, since it is smaller than the sum of its proper divisors (14735172260272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11101121111120 is a wasteful number, since it uses less digits than its factorization.

11101121111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37620 (or 37614 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 11101121111120 its reverse (2111112110111), we get a palindrome (13212233221231).

The spelling of 11101121111120 in words is "eleven trillion, one hundred one billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1931 2143 3862 4286 7724 8572 9655 10715 15448 17144 19310 21430 30896 33533 34288 38620 42860 67066 77240 85720 134132 154480 167665 171440 268264 335330 536528 670660 1341320 2682640 4138133 8276266 16552532 20690665 33105064 41381330 64752223 66210128 71861219 82762660 129504446 143722438 165525320 259008892 287444876 323761115 331050640 359306095 518017784 574889752 647522230 718612190 1036035568 1149779504 1295044460 1437224380 2590088920 2874448760 5180177840 5748897520 138764013889 277528027778 555056055556 693820069445 1110112111112 1387640138890 2220224222224 2775280277780 5550560555560 11101121111120